42401120 has 24 divisors (see below), whose sum is σ = 100173024. Its totient is φ = 16960384.

The previous prime is 42401119. The next prime is 42401137. The reversal of 42401120 is 2110424.

42401120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 42401095 and 42401104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 132344 + ... + 132663.

It is an arithmetic number, because the mean of its divisors is an integer number (4173876).

Almost surely, 2^42401120 is an apocalyptic number.

42401120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42401120 is an abundant number, since it is smaller than the sum of its proper divisors (57771904).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42401120 is a wasteful number, since it uses less digits than its factorization.

42401120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265022 (or 265014 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 42401120 is about 6511.6142391883. The cubic root of 42401120 is about 348.7057505641.

Adding to 42401120 its reverse (2110424), we get a palindrome (44511544).

The spelling of 42401120 in words is "forty-two million, four hundred one thousand, one hundred twenty".